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Finding the Fourth Proportional to 1,460.70, 2,179.44 and 1,427.49

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Solution

The fourth proportional to 1,460.70, 2,179.44 and 1,427.49 is: 2,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.70 : 2,179.44 = 1,427.49 : x
  2. Step 2: Convert to fraction form
    1,460.70/2,179.44 = 1,427.49/x
  3. Step 3: Cross multiply
    1,460.70x = 2,179.44 × 1,427.49
  4. Step 4: Simplify right side
    1,460.70x = 3,111,128.81
  5. Step 5: Solve for x
    x = 3,111,128.81/1,460.70
  6. Step 6: Final answer
    x = 2,129.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.